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Finding the Fourth Proportional to 137.29, 204.74 and 128.07

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Solution

The fourth proportional to 137.29, 204.74 and 128.07 is: 190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.29 : 204.74 = 128.07 : x
  2. Step 2: Convert to fraction form
    137.29/204.74 = 128.07/x
  3. Step 3: Cross multiply
    137.29x = 204.74 × 128.07
  4. Step 4: Simplify right side
    137.29x = 26,220.03
  5. Step 5: Solve for x
    x = 26,220.03/137.29
  6. Step 6: Final answer
    x = 190.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.